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25330132242 = 2341031818387
BaseRepresentation
bin10111100101110010…
…110010010100010010
32102101022010001010000
4113211302302110102
5403334003212432
615345252350430
71554463400022
oct274562622422
972338101100
1025330132242
11a819221298
124aab015416
132508a5453c
141324161a82
159d3b8457c
hex5e5cb2512

25330132242 has 80 divisors (see below), whose sum is σ = 57632807232. Its totient is φ = 8314215840.

The previous prime is 25330132241. The next prime is 25330132259. The reversal of 25330132242 is 24223103352.

25330132242 is a `hidden beast` number, since 2 + 5 + 330 + 1 + 322 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (25330132241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3015973 + ... + 3024359.

Almost surely, 225330132242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25330132242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28816403616).

25330132242 is an abundant number, since it is smaller than the sum of its proper divisors (32302674990).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25330132242 is a wasteful number, since it uses less digits than its factorization.

25330132242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8685 (or 8676 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 25330132242 its reverse (24223103352), we get a palindrome (49553235594).

The spelling of 25330132242 in words is "twenty-five billion, three hundred thirty million, one hundred thirty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 103 162 181 206 309 362 543 618 927 1086 1629 1854 2781 3258 4887 5562 8343 8387 9774 14661 16686 16774 18643 25161 29322 37286 50322 55929 75483 111858 150966 167787 226449 335574 452898 503361 679347 863861 1006722 1358694 1510083 1518047 1727722 2591583 3020166 3036094 4554141 5183166 7774749 9108282 13662423 15549498 23324247 27324846 40987269 46648494 69972741 81974538 122961807 139945482 156358841 245923614 312717682 469076523 938153046 1407229569 2814459138 4221688707 8443377414 12665066121 25330132242